How could an AI be used to improve the teaching and learning of mathematics?
Fundraising is probably the most realistic answer with the biggest effect. Similar to simply adding blockchain to the company name helps.

For the question of real application, I should first say that I'm a machine learning engineer who works as a consultant. I had mathematics as a minor subject during bachelor's and Master's degree, which is like 80% of a bachelor's degree in mathematics. Mainly the bachelor's thesis is missing. I also gave private mathematics lessons.

I would distinguish learning mathematics at school from University. It's completely different. However, for this question it does not make much of a difference. It's also not super important that you ask it for math. It's about learning in general.

Machine learning tools can support for several minor tasks:


Figuring out how a symbol is called (I build write-math.com for that as a bachelor's project)
Figuring out what a symbol means
Getting relevant papers / parts of the lecture notes for a given problem
Helping to digitalize stuff for easier sharing / content creation
Learning things by heart: there are some nice apps like Anki which help you to learn arbitrary stuff by heart. The learning algorithm could potentially be improved by AI